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Pressure in fluids — Physics, 14–17 years

Pressure explains why water pushes harder deep down and how a small force can move a heavy load.

The idea

Pressure tells us how concentrated a force is over an area: pressure equals force divided by area. In a liquid, pressure also grows with depth because more liquid is pressing down above. At the same depth, a still liquid pushes equally in every direction.

Why it matters

People needed to explain why dams are thicker at the bottom and why pumps can lift water. Measuring force alone was not enough: the same force on different areas has different effects. The pressure idea came from studying fluids and lets engineers predict loads on walls, pipes and machines.

Worked example

A force of 120 N acts on an area of 0.03 m². Use pressure = force ÷ area. So the pressure is 120 ÷ 0.03 = 4,000 Pa. If the same force acted on 0.06 m², the pressure would be 2,000 Pa: doubling the area halves the pressure.

The common trap

A reasonable mistake is to think a bigger area always means bigger pressure, because a bigger surface can feel more important. Pressure is about how crowded the force is, not just the total force. Check the units and divide by area; spreading a force reduces pressure.

Where it appears

Hydraulic brakes and lifts use a liquid to pass on pressure. A force on a small piston creates pressure in the liquid; that pressure acts on a larger piston, producing a larger force. This works only when the liquid is trapped and nearly incompressible.

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